CAT Admit Card Date:05 Nov' 25 - 30 Nov' 25
Knowing the important formulas for CAT preparation is essential for scoring high in the Quantitative Aptitude and Data Interpretation sections. These CAT 2025 Quantitative Aptitude formulas form the base for solving questions quickly and accurately. Therefore, candidates must have keep a formula sheet for CAT 2025 handy. It not only helps candidates while they are solving complex CAT Quant problems but also serves as the best resource during revision.
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In this article, you will get a free CAT 2025 Formula Sheet PDF along with chapter-wise important Quant formulas, shortcuts, and tips for quick revision.
Download the CAT 2025 formula PDF designed for fast revision and last-minute preparation. This free formula sheet covers all the important formulae that will be helpful to solve questions quickly in the CAT exam.
Download Now: CAT 2025 Important Formulas
Mastering important geometry formulas is crucial for cracking the CAT exam, as geometry is a key topic in the Quantitative Aptitude section. The following section covers all essential CAT geometry formulas, including areas, polygons, angles, and properties of triangles and circles to help you solve problems quickly and accurately.
Topic | Formula |
Area of Triangle | $\frac{1}{2} \times \text{Base} \times \text{Height}$ |
Heron's Formula | $A = \sqrt{s(s-a)(s-b)(s-c)};; s = a + b + c$ |
Pythagoras Theorem | $a^2 + b^2 = c^2\ \text{(for right-angled triangle)}$ |
Equilateral Triangle Area | $3a^2$ |
Circumference of Circle | $2\pi r$ |
Area of Circle | $\pi r^2$ |
Length of Arc | $\dfrac{\theta}{360^{\circ}} \times 2\pi r$ |
Area of Sector | $\dfrac{\theta}{360^{\circ}} \times \pi r^2$ |
Area of Rectangle | $L \times B$ |
Perimeter of Rectangle | $2(L+B)$ |
Area of Square | $a^2$ |
Perimeter of Square | $4a$ |
Area of Parallelogram | $\text{Base} \times \text{Height}$ |
Area of Rhombus | $\dfrac{1}{2} d_1 d_2$ |
Sum of Interior Angles | $(n-2) \times 180^\circ$ |
Each Interior Angle (Regular Polygon) | $\dfrac{(n-2) \times 180^\circ}{n}$ |
Each Exterior Angle (Regular Polygon) | $\dfrac{360^\circ}{n}$ |
Surface Area of Sphere | $4\pi r^2$ |
Volume of Sphere | $\dfrac{4}{3}\pi r^3$ |
Surface Area of Cylinder | $2\pi r(h+r)$ |
Volume of Cylinder | $\pi r^2 h$ |
Surface Area of Cone | $\pi r(r+l)$ |
Volume of Cone | $\dfrac{1}{3}\pi r^2 h$ |
Trigonometry plays a vital role in the CAT Quantitative Aptitude section, making it essential to learn and memorise key formulas. This comprehensive list of important CAT trigonometry formulas helps aspirants solve complex problems with speed, accuracy, and confidence during the exam.
These are defined in relation to a right-angled triangle:
$\sin \theta = \frac{\text{Opposite side}}{\text{Hypotenuse}}$
$\cos \theta = \frac{\text{Adjacent side}}{\text{Hypotenuse}}$
$\tan \theta = \frac{\text{Opposite side}}{\text{Adjacent side}}$
$\csc \theta = \frac{\text{Hypotenuse}}{\text{Opposite side}}$
$\sec \theta = \frac{\text{Hypotenuse}}{\text{Adjacent side}}$
$\cot \theta = \frac{\text{Adjacent side}}{\text{Opposite side}}$
$\sin^2 \theta + \cos^2 \theta = 1$
$1 + \tan^2 \theta = \sec^2 \theta$
$1 + \cot^2 \theta = \csc^2 \theta$
$\sin(-\theta) = -\sin \theta$
$\cos(-\theta) = \cos \theta$
$\tan(-\theta) = -\tan \theta$
$\csc(-\theta) = -\csc \theta$
$\sec(-\theta) = \sec \theta$
$\cot(-\theta) = -\cot \theta$
$\sin(A + B) = \sin A \cos B + \cos A \sin B$
$\sin(A - B) = \sin A \cos B - \cos A \sin B$
$\cos(A + B) = \cos A \cos B - \sin A \sin B$
$\cos(A - B) = \cos A \cos B + \sin A \sin B$
$\tan(A + B) = \frac{\tan A + \tan B}{1 - \tan A \tan B}$
$\tan(A - B) = \frac{\tan A - \tan B}{1 + \tan A \tan B}$
Quantitative Aptitude formulas form the foundation of the Quantitative Aptitude section in the CAT 2025 exam. Here are some important CAT 2025 quant section-wise formulae for CAT 2025 preparation:
The Arithmetic section is the most important section in the Quantitative Aptitude Section, which is also useful to solve the Data Interpretation problems. Following are some 50+ Important Formulas for CAT Preparation of this section which are given in this CAT Formula Sheet:
Following are some Important CAT Formulas of percentage:
$X \text{ is what percentage of } Y = \frac{X}{Y} \times 100$
$X \text{ is what percentage more/less than } Y = \frac{|X - Y|}{Y} \times 100$
Following are some formulas which can be used as CAT Quant Formulae:
Concept | Formula |
Successive percentage change | Overall |
Changes in A when B and C are altered | Overall |
Price increase followed by a decrease | Overall |
Following are some Important CAT Formulas of this topic:
Concept | Formula |
Selling Price and Profit | $S.P. = C.P. + \text{Profit}$ |
Selling Price and Loss | $S.P. = C.P. - \text{Loss}$ |
Profit or Loss Percentage | $\text{Profit or Loss Percentage}$ |
Discount Percentage | $\text{Discount Percentage}$ |
Selling Price with Profit or Loss | $S.P. = \frac{C.P. \times 100 + \text{Profit} \times 100}{100}$ |
Selling Price with Profit or Loss | $S.P. = \frac{C.P. \times 100 - \text{Loss} \times 100}{100}$ |
Following are some basic and Important Formulas for CAT 2025 related to Simple Interest and Compound Interest:
Concept | Formula |
Simple Interest | For Principal ($P$), Rate of Interest ($R$), Time ($T$): $S.I. = P \times R \times T / 100$ |
Compound Interest (annually) | $A = P(1 + \dfrac{R}{100})^n$ where $n$ = time in years. |
Compound Interest (half-yearly) | $A = P \left(1 + \dfrac{R}{2 \times 100}\right)^{2T}$ |
Total Amount | $A = P + \text{Interest}$ |
Following are some formulas which can be used as CAT Quant Formula Cheat Sheet for the preparation and exam point of view:
Concept | Formula |
Doubling Time with Compound Interest | Time to double = $\dfrac{72}{R}$ years (where $R$ = annual interest rate) |
Difference Between C.I. and S.I. (2 years) | $C.I. - S.I. = P \left( \dfrac{R}{100} \right)^2$ |
Difference Between C.I. and S.I. (3 years) | $C.I. - S.I. = P \left( \dfrac{R}{100} \right)^2 \left( 3 + \dfrac{R}{100} \right)$ |
Following are some basic and Important Formulas for CAT 2025 related to Time, Speed and Distance:
Concept | Formula |
Distance | $D = S \times T$ |
Average Speed | $\text{Average Speed} = \dfrac{\text{Total Distance}}{\text{Total Time}}$ |
Concept | Formula |
Time for a train to cross a pole/person | $T = \dfrac{l}{s}$ |
Where: $l =$ Length of the train, $s =$ Speed of the train | |
Time for a train to cross a platform/tunnel | $T = \dfrac{l + d}{s}$ |
Where: $l =$ Length of the train, $d =$ Length of platform/tunnel, $s =$ Speed of the train | |
Time for trains to cross each other (same direction) | $T = \dfrac{l_1 + l_2}{s_1 - s_2}$ |
Where: $l_1, l_2 =$ Lengths of Train 1 and Train 2; $s_1, s_2 =$ Speeds of Train 1 and Train 2 | |
Time for trains to cross each other (opposite direction) | $T = \dfrac{l_1 + l_2}{s_1 + s_2}$ |
Where: $l_1, l_2 =$ Lengths of Train 1 and Train 2; $s_1, s_2 =$ Speeds of Train 1 and Train 2 | |
Concept | Formula |
Speed of Boat in Still Water | $x$ kmph |
Speed of Stream/Water/Current | $y$ kmph |
Travelling Time | $t$ hr |
Distance (Downstream: same direction) | $D = (x + y) \times t$ km |
Distance (Upstream: opposite direction) | $D = (x - y) \times t$ km |
Concept | Formula |
Speed of Hour Hand | $0.5^\circ$ per minute |
Round covered by Hour Hand | $1$ round $= 360^\circ$ in $12$ hours or $720$ minutes |
Speed of Minute Hand | $6^\circ$ per minute |
Round covered by Minute Hand | $1$ round $= 360^\circ$ in $1$ hour or $60$ minutes |
Angle between Hour and Minute Hands | $\theta =|\frac{11}{2}M-30H$| |
We have provided below the shortcut formulae related to average speeds, boat stream, circular tracks, meeting point, to make your calculations faster in the CAT 2025 exam.
Case 1: Equal distances, different speeds
If the distance covered in each stage of a journey is the same, but speeds are different, the average speed is the harmonic mean:
$ \text{Average Speed} = \frac{2 s_1 s_2}{s_1 + s_2} $
Example:
Distance from A to B and B to C is the same. Speeds: $s_1$ and $s_2$. Then:
$ \text{Average Speed} = \frac{2 s_1 s_2}{s_1 + s_2} $
Case 2: Equal time, different speeds
If the time taken in each stage is the same but speeds differ, the average speed is the arithmetic mean:
$ \text{Average Speed} = \frac{s_1 + s_2}{2} $
If two people start from the same point on a circular track of length $D$ km with speeds $a$ & $b$ kmph in the same direction:
Time for first meeting:
$ t_{\text{first}} = \frac{D}{|a-b|} $
Time to meet again at the starting point:
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$ t_{\text{start}} = \text{LCM}\left(\frac{D}{a}, \frac{D}{b}\right) $
Number of distinct meeting points:
$ \text{Meeting points} = |x - y| $
Where $x:y$ is the simplified ratio of speeds.
Example: If $a = 12$ kmph, $b = 9$ kmph → $x:y = 12:9 = 4:3$ → $x=4$, $y=3$.
If two people start from the same point in opposite directions:
Time for first meeting:
$ t_{\text{first}} = \frac{D}{a+b} $
Time to meet again at the starting point:
$ t_{\text{start}} = \text{LCM}\left(\frac{D}{a}, \frac{D}{b}\right) $
Number of distinct meeting points:
$ \text{Meeting points} = |x + y| $
Where $x:y$ is the simplified ratio of speeds.
If a person $P$ starts from $A$ towards $B$, and $Q$ starts from $B$ towards $A$, and they meet after time $t$:
$ t = x \cdot y $
Where:
$x$ = time taken by $P$ to reach $B$ after meeting
$y$ = time taken by $Q$ to reach $A$ after meeting
If the speed of the boat downstream is $u$ kmph and upstream is $v$ kmph:
Speed of boat in still water:
$ \text{Boat speed} = \frac{u+v}{2} \text{ kmph} $
Rate of stream:
$ \text{Stream speed} = \frac{u-v}{2} \text{ kmph} $
The Geometry section is the lengthiest section in the Quantitative Aptitude Section which has lots of properties and formulas. Following are 50+ Important Formulas for CAT Preparation of this section which are given in this CAT Formula Sheet:
Properties of Triangles:
The sum of all interior angles in a triangle is $180^\circ$ and the sum of all exterior angles is $360^\circ$.
The sum of any two sides is always greater than the third one and the difference of any two sides is less than the third one.
Let $a, b, c$ be the sides of a triangle, then
$|b-c| < a < b+c$
In a scalene triangle the greatest side is always greater than one-third of the perimeter and less than half of the perimeter.
Let $a, b, c$ be the sides of the triangle and $a$ be the greatest side. Let the perimeter be $P$. Then
$\dfrac{P}{3} < a < \dfrac{P}{2}$
Example: In a scalene triangle $ABC$, the perimeter is $24$ cm and all sides are integers.
Let $a, b, c$ be sides of the triangle with $a$ the greatest side. Then
$\dfrac{24}{3} < a < \dfrac{24}{2}$
$8 < a < 12$
So possible values are $9, 10, 11$ cm.
For $a, b, c$ sides of a triangle and $a$ the greatest side:
If $a^2 < b^2 + c^2$, then the triangle is acute angled.
If $a^2 = b^2 + c^2$, then the triangle is right angled (Pythagoras theorem).
If $a^2 > b^2 + c^2$, then the triangle is obtuse angled.
(Here $D$ is the midpoint of side $AC$, so $AD = DC$)
Midpoint of a triangle
Length of the Median –
BD = $\frac12 \sqrt{2(AB^2+BC^2)−AC^2}$
3× (Sum of squares of sides) =4× (Sum of squares of medians), that is,
$3(a^2+b^2+c^2)=4({M_a}^2+{M_b}^2+{M_c}^2)$
where a,b, and c are the sides of the triangle and Ma, Mb, and Mc are the medians.
In a right-angled triangle, Median of Hypotenuse = Half of Hypotenuse
That is,
CD = AB/2
Median of hypotenuse
If all the medians are drawn in the triangle, then the 6 small triangles are generated in the triangle, which are equal in the Area.
Area of Triangle:
Heron’s Formula
If all sides of a triangle are given. Let $a, b, c$ be the sides of the triangle –
Area $= \sqrt{s(s-a)(s-b)(s-c)}$ where $s = \dfrac{a+b+c}{2}$ is the semiperimeter.
If two sides and the included angle are given –
Area $= \dfrac{1}{2} \times \text{(Product of given sides)} \times \sin(\text{included angle})$
Area $= \dfrac{1}{2} \times a \times b \times \sin C$
(Example: sides $a, b$ and included angle $C$ are given)
If a side and its respective altitude (perpendicular drawn from the opposite vertex) is given, then –
Area of the triangle $= \dfrac{1}{2} \times \text{Base} \times \text{Height (Altitude)}$
Area of an equilateral triangle = $ \frac{\sqrt{3}}{4} a^2 $
Height (Altitude) of an equilateral triangle = $ \frac{\sqrt{3}}{2} a $
Area of a triangle = $ r \times s $ (where $r$ is the inradius and $s$ is the semiperimeter)
Area of a triangle = $ \frac{abc}{4R} $ (where $a$, $b$, $c$ are sides and $R$ is the circumradius)
Trapezium
| Area: $ \frac{1}{2} \times (\text{Sum of Parallel Sides}) \times \text{Height} $ |
Parallelogram
| Opposite angles and sides are equal. |
Rhombus
| All sides and opposite angles are equal. Diagonals bisect each other at 90∘. Sum of squares of diagonals: $ 4a^2 $ Where: |
Rectangle | Perimeter: $ 2(l + b) $ (where $l =$ length, $b =$ breadth) |
Square | Perimeter: $ 4a $ (where $a =$ side of square) |
Cyclic Quadrilateral
| $\text{Sum of opposite angles} = 180^\circ$ $\text{Area} = \frac{1}{2} \times d_1 \times d_2 \times \sin \theta \quad \text{(where } \theta \text{ is the angle between the diagonals)}$ $\text{Area} = (s - a)(s - b)(s - c)(s - d), \quad \text{where } a,b,c,d \text{ are sides and } s = \frac{a + b + c + d}{2} \text{ is the semi-perimeter}.$ |
Circumference of a circle $= 2\pi r$
Area of a circle $= \pi r^2$
For a semi-circle:
Circumference of a semi-circle $= \pi r$
Perimeter of a semi-circle $= \pi r + 2r$
Area of a semi-circle $= \dfrac{\pi r^2}{2}$
Sector & Segment of circle
$OAXC$ is called the sector of the circle and $AXC$ is called the segment.
Length of arc $AXC = \dfrac{\theta}{360} \times 2\pi r$ (where $r$ is the radius)
Area of sector $OAXC = \dfrac{\theta}{360} \times \pi r^2$
$2 \times \text{Area of sector} = \text{Length of arc} \times \text{Radius}$
Area of segment $AXC = \text{Area of sector } OAXC - \text{Area of } \triangle OAC$
$A = \dfrac{\theta}{360} \pi r^2 - \dfrac{1}{2} r^2 \sin \theta$
Where:
$\theta$ = angle subtended at the center (in degrees)
$r$ = radius of the circle
$PQ$ and $RS$ are the direct common tangents of the circles, which are equal in length.
Length of direct common tangent $(L)$:
$L^2 = d^2 - (r_1 - r_2)^2$
Where:
$d =$ distance between centers of the circles
$r_1, r_2 =$ radii of the circles
$PQ$ and $RS$ are the transverse common tangents of the circles, which are equal in length.
Length of transverse common tangent $(L)$:
$L^2 = d^2 - (r_1 + r_2)^2$
Where:
$L =$ length of the transverse common tangent
$d =$ distance between the centers of the two circles
$r_1, r_2 =$ radii of the two circles
Cube {a- side of cube} | Let a be the side of the cube:
|
Cuboid {l-length, b-breadth, h-height} | Let l = length, b = breadth, h = height:
|
Cylinder {r-radius of circular base, h-height} | Let r = radius of base, h = height:
|
Cone {r-radius of circular base, h-height, l- slant height} | Curved Surface Area (C.S.A.): $ \pi r l $ Total Surface Area (T.S.A.): $ \pi r (r + l) $ Volume: $ \frac{1}{3}\pi r^2 h $ Where: |
Sphere {r-radius} | Total Surface Area: $ 4\pi r^2 $ Volume: $ \frac{4}{3} \pi r^3 $ Where r is the radius. |
Hemi-sphere {r-radius} | Let r be the radius:
|
The Algebra section is a critical part of the Quantitative Aptitude section in the CAT exam. Below are over 50 important formulas for CAT preparation in this section, which are provided in this comprehensive CAT Formula Sheet:
1. Quadratic Equations
General form:
$ ax^2 + bx + c = 0 $
Roots of the equation (Shreedhara Acharya's Formula):
$ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $
Sum of roots:
$ \text{Sum} = -\frac{b}{a} $
Product of roots:
$ \text{Product} = \frac{c}{a} $
Discriminant:
$ D = b^2 - 4ac $
If $D > 0$, roots are real and distinct
Perfect square $D$ → roots are rational (e.g., $x=1,6$)
Non-perfect square $D$ → roots are irrational/conjugate surds (e.g., $x = 3 - \sqrt{5}, 3 + \sqrt{5}$)
If $D = 0$, roots are real and equal
If $D < 0$, roots are imaginary and distinct
Vertex (Maximum/Minimum values):
For $y = ax^2 + bx + c$, $a>0$ (Minimum):
$ x = -\frac{b}{2a}, \quad y_{\text{min}} = -\frac{D}{4a} $
For $y = ax^2 + bx + c$, $a<0$ (Maximum):
$ x = -\frac{b}{2a}, \quad y_{\text{max}} = -\frac{D}{4a} $
Quadratic equation from roots $a$ and $b$:
$ x^2 - Sx + P = 0 $, where $ S = a+b $, $ P = ab $
Or equivalently:
$ x^2 - (a+b)x + ab = 0 $
Arithmetic Progression (A.P.)
If a is the first term and d is the common difference then the Arithmetic Progression (A.P.). can be written as-
a, a+d, a+2d, a+3d, …
Let $a =$ first term
$d =$ common difference
$n$ = number of terms
Nth term of the A.P. –
$T_n = a + (n-1)d$
Sum of the first $n$ terms of the A.P. $(S_n)$ = Average of all the terms $\times$ number of terms $(n)$.
The average of the terms can be found easily:
If the number of terms is odd, then the middle term will be the average.
Example: $2, 5, 8, 11, 14$ are terms of the A.P., then the middle term $8$ is the average.
So, $S_n = \text{average} \times n = 8 \times 5 = 40$.
If the number of terms is even, then the average of the middle two terms will be the average of the A.P.
Formula for sum of $n$ terms:
$S_n = \dfrac{n}{2} \big[ 2a + (n-1)d \big]$
$S_n = \dfrac{n}{2}(a+l)$ (where $a =$ first term, $l =$ last term, $n =$ number of terms)
$n = \dfrac{l-a}{d}+1$ (number of terms in A.P.)
Geometric Progression (G.P.)
If $a$ is the first term and $r$ is the common ratio, then the G.P. can be written as: $a, ar, ar^2, ar^3, \dots$
Nth term of the G.P.: $T_n = a \cdot r^{n-1}$
Sum of the first $n$ terms:
If $|r| < 1$: $S_n = a \cdot \dfrac{1-r^n}{1-r}$
If $r > 1$: $S_n = a \cdot \dfrac{r^n-1}{r-1}$
Sum of infinite terms of the G.P. (if $|r|<1$): $S_\infty = \dfrac{a}{1-r}$
Where: $a =$ first term, $r =$ common ratio, $n =$ number of terms
$|r|<1$ ensures the series converges.
If there are odd no. of terms in a G.P., then the product of all terms are equal to the nth power of the middle term.
e.g. 2,6,18,54,162 are the terms of a G.P.
Then the products of all the terms = 185
Harmonic Progression (H.P.)
If a,b,c are in A.P., then $\frac{1}{a},\frac{1}{b},\frac{1}{c}$ are in Harmonic Progression (H.P.).
n-th term of the H.P.=$\frac{1}{n}$-th term of the corresponding A.P.
Sum of first $n$ natural numbers:
$ 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}{2} $
Sum of squares of first $n$ natural numbers:
$ 1^2 + 2^2 + 3^2 + \cdots + n^2 = \frac{n(n+1)(2n+1)}{6} $
Sum of cubes of first $n$ natural numbers:
$ 1^3 + 2^3 + 3^3 + \cdots + n^3 = \left(\frac{n(n+1)}{2}\right)^2 $
Sum of first $n$ odd numbers:
$ 1 + 3 + 5 + \cdots + (2n-1) = n^2 $
Sum of squares of first $n$ even numbers:
$ 2^2 + 4^2 + 6^2 + \cdots + (2n)^2 = \frac{2n(n+1)(2n+1)}{3} $
Sum of squares of first $n$ odd numbers:
$ 1^2 + 3^2 + 5^2 + \cdots + (2n-1)^2 = \frac{n(2n+1)(2n-1)}{3} $
Product Rule:
$ a^m \cdot a^n = a^{m+n} $
Quotient Rule:
$ \frac{a^m}{a^n} = a^{m-n} $
Power of a Power:
$ (a^m)^n = a^{mn} $
Power of a Product:
$ (ab)^n = a^n \cdot b^n $
Power of a Quotient:
$ \left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} $
Negative Exponent:
$ a^{-n} = \frac{1}{a^n} $
Infinite Product: $\prod_{n=1}^{\infty} a_n = \lim_{n \to \infty} \prod_{k=1}^{n} a_k$
Definition of Logarithm:
$ \log_b a = x ;;\Longleftrightarrow;; b^x = a $
Log of 1:
$ \log_b 1 = 0 \quad (b>0, ; b \neq 1) $
Log of the base itself:
$ \log_b b = 1 $
Log of a product:
$ \log_b (mn) = \log_b m + \log_b n $
Log of a quotient:
$ \log_b \left(\frac{m}{n}\right) = \log_b m - \log_b n $
Log of a power:
$ \log_b (m^n) = n \cdot \log_b m $
Change of base formula:
$ \log_b a = \frac{\log_k a}{\log_k b} $
Base switch rule:
$ \log_a b = \frac{1}{\log_b a} $
Get a CAT 2025 Quantitative Aptitude Cheat Sheet with all essential formulas, shortcuts, and problem-solving tricks to boost your speed and accuracy in the Quant section.
Download Now: CAT 2025 Quantitative Aptitude Cheat Sheet PDF
A CAT 2025 Quantitative Aptitude formula sheet is a must-have for MBA entrance preparation. Quantitative Aptitude in CAT tests not only your mathematical knowledge but also your speed and accuracy, and having all important formulas in one place can make a huge difference. Instead of flipping through multiple books or notes, a CAT formula PDF allows aspirants to revise quickly and focus on high-weightage topics like Arithmetic, Algebra, Geometry, Number System, and Modern Maths.
Using a formula sheet daily also improves conceptual clarity. By repeatedly revising key formulas, you develop faster problem-solving skills, reduce calculation errors, and gain confidence for mocks and the actual exam. For students aiming to maximize their percentile, a well-structured CAT Quant formula sheet is an indispensable tool for efficient preparation.
A CAT formula sheet PDF brings several advantages:
It saves time during last-minute revision, allowing aspirants to focus only on the most important formulas.
It ensures you cover all high-utility concepts, reducing the risk of missing scoring areas in the exam.
Daily use improves speed and accuracy in problem-solving, which is crucial for a time-bound exam like CAT.
It highlights shortcut methods and calculation tricks, helping tackle tricky Quant questions more efficiently.
With these benefits, a formula sheet acts not just as a reference, but as a preparation strategy tool, guiding aspirants to revise smartly and systematically.
A CAT 2025 formula sheet acts as a quick reference guide during preparation. It helps you recall key concepts, save revision time, and improve accuracy in problem-solving. Having all important formulas from Arithmetic, Algebra, Geometry, and Modern Math in one place boosts your speed and confidence while attempting Quantitative Aptitude questions in the exam.
A well-organised CAT formula sheet allows you to revise important concepts quickly before mocks and the final exam. Instead of searching through multiple books or notes, you can go through one sheet that covers all crucial formulas from Arithmetic, Algebra, Geometry, and Numbers. This structured revision helps you improve speed and problem-solving efficiency.
Preparing a formula sheet for CAT 2025 preparation builds a stronger understanding of topics. Writing and categorising formulas by section—like percentages, ratios, or permutations—helps you connect ideas and recall the right one during tough questions. This approach ensures both clarity and application accuracy in the actual exam.
Many students make small calculation errors due to confusion between similar formulas. Regularly revising from your CAT Quant formula sheet helps you retain correct equations and avoid mix-ups. Clear understanding of formula derivations enhances precision, reducing chances of negative marking in the test.
Using a CAT formula sheet during mock test practice can significantly improve your score. Reviewing it before and after each mock boosts memory retention and highlights weak areas. You can track which formulas you forget often and revise them again—turning your mock analysis into a more effective learning process.
Before appearing for CAT 2025, revising all key formulas from your sheet gives a psychological advantage. It helps calm nerves, refresh memory, and strengthen exam confidence. A personalised, well-maintained formula sheet acts like a final preparation guide, ensuring you enter the exam hall fully prepared.
A CAT Quant formula sheet is one of the smartest ways to simplify exam preparation. It helps you revise essential formulas, identify weak areas, and boost problem-solving speed. With quick access to all important concepts, aspirants can focus better, reduce last-minute stress, and improve their CAT 2025 Quantitative Aptitude performance significantly.
The CAT 2025 Quant formula sheet collects all key formulas in one place—covering Arithmetic, Algebra, Geometry, and Modern Math. Instead of flipping through books, you can revise every crucial concept quickly. This saves time and helps maintain consistent practice, ensuring you remember formulas even under exam pressure.
Remembering formulas accurately is essential for speed-based exams like CAT 2025. Regular revision from your Quant formula sheet helps you apply equations faster, solve complex problems efficiently, and attempt more questions in less time. This habit can make a major difference in your sectional and overall percentile.
A personalised CAT Quant formula sheet strengthens your recall and clarity. When you know which formula fits each question type, you reduce silly mistakes and confusion. Repeatedly reviewing and testing yourself on these formulas improves accuracy, especially in topics like Time-Speed-Distance, Profit-Loss, and Probability.
During the final days before CAT 2025, revising entire books isn’t practical. Your Quant formula sheet becomes the ultimate quick revision guide. It helps you brush up on important equations and shortcuts in a few hours, keeping your memory fresh right before the exam.
While updating your CAT 2025 Quantitative Aptitude formula sheet, you’ll naturally notice which topics you often skip or forget. This helps in analysing your weaker areas early and focusing your preparation accordingly. Over time, it turns into a powerful self-assessment and improvement tool for CAT aspirants.
Simply reading formulas is not enough; active learning and revision are key. Here’s how to memorize CAT Quant formulas effectively:
Group formulas by topics like Arithmetic, Algebra, Geometry, Trigonometry, Number System, and Modern Maths. This ensures systematic revision and reduces confusion during the exam.
Write and solve questions immediately after revising a formula. For example, if you revise the formula for Compound Interest, solve a small problem to reinforce memory.
Use visual aids like diagrams for Geometry or Trigonometry, which help in retaining formulas longer.
Flashcards and digital notes are useful for on-the-go revision.
Explain formulas aloud or teach a friend. This strengthens memory and helps internalize concepts faster.
Night revision before sleeping also improves retention, as the brain continues processing information during sleep.
By following these strategies, aspirants can ensure that important formulas for CAT 2025 stay fresh in memory and are instantly available during exams.
Understanding how formulas are applied in actual CAT questions is vital. Previous year CAT papers reveal patterns in:
Arithmetic: frequent use of percentages, profit-loss, ratio-proportion problems.
Algebra: identities and quadratic equations that appear repeatedly.
Geometry & Trigonometry: areas, volumes, angles, and ratios tested regularly.
Data Interpretation: averages, percentages, and ratio-based calculations in tables and charts.
By practising previous year questions with a CAT 2025 formula PDF, aspirants learn to recall formulas quickly and apply them under exam conditions, boosting both speed and accuracy.
A well-organized formula sheet can drastically improve preparation efficiency:
Arrange formulas chapter-wise: Arithmetic, Algebra, Geometry, Number System, Modern Maths.
Highlight high-importance formulas using color or bold text.
Include small diagrams for Geometry and Trigonometry to aid visual memory.
Maintain either a physical notebook or a digital file for easy access.
Compile a one-page PDF of essential formulas for quick last-minute revision.
This approach ensures all key formulas are available at your fingertips, making your study time highly productive.
Explore the best CAT 2025 eBooks and study materials recommended by experts for complete preparation. These resources will help aspirants revise efficiently and boost exam preparation.
| Title | Download Link |
| CAT 2025 Quantitative Aptitude 20 Free Sectional Tests | Download Now |
| CAT 2025 Arithmetic Important Concepts and Practice Questions | Download Now |
| CAT 2025 Algebra Important Concepts and Practice Questions | Download Now |
| CAT 2025 Quantitative Aptitude Study Material PDF - Geometry and Mensuration | Download Now |
| CAT 2025 Number System Important Concepts and Practice Questions | Download Now |
| CAT 2025 Quantitative Aptitude Questions with Answers PDF | Download Now |
Frequently Asked Questions (FAQs)
Key formulas include percentages, profit and loss, time-speed-distance, averages, simple and compound interest, geometry theorems, and algebraic identities. These formulas help solve most Quant questions quickly and accurately in CAT 2025.
You don’t need every formula ever made—just focus on those repeatedly asked in previous CAT papers. Prioritise core areas like Arithmetic, Algebra, and Geometry for best results.
Write formulas in a separate notebook or digital sheet, revise them daily, and practise topic-wise questions. Repetition through mock tests helps build long-term memory and faster recall during the exam.
A well-organised CAT formula sheet saves revision time, prevents confusion, and improves problem-solving speed. It’s especially useful for last-minute revision before mocks and the final CAT exam.
You can create your own sheet from trusted CAT preparation books or refer to online resources like Careers360 and coaching material that list CAT 2025 topic-wise formulas for quick reference.
Yes, NCERT books, particularly for subjects like Mathematics, provide a solid foundation. They are especially beneficial for beginners to grasp basic concepts before moving to more complex materials.
Absolutely. Many aspirants successfully prepare using self-study materials, previous year papers, and practice tests. Discipline and a well-structured study plan are key to self-preparation.
Important formulas are Area of Circle (πr²), Circumference (2πr), and Pythagoras theorem (a² + b² = c²). Triangle area ½ × base × height and Volume of Cylinder (πr²h) are also common. CAT Geometry questions depend directly on these.
Yes, formulas like LCM × HCF = Product of numbers and sum of series are important. Examples: sum of first n natural numbers n(n+1)/2 and squares n(n+1)(2n+1)/6. Divisibility rules also save time in CAT questions.
On Question asked by student community
Hello,
With 802 marks in TS Inter and ST category, you have a fair chance of getting admission in BPT (Bachelor of Physiotherapy) in some private colleges through state counselling.
However, for government colleges, the cutoff may be slightly higher, so keep options open for management quota or allied health colleges too.
Hope you understand.
Hey,
You already have a strong profile with the score of 58% in Class 10, 74% in Class 12, and 80% in graduation, but admission in IIT Bombay, Shailesh J Mehta School of Management is quite competitive, especially if you are in general category because the cutoff for general goes to 98.5-99%. Your CAT percentage is impressive but your 10th marks might reduce your score during the shortlisting process. If you perform well in Written Ability Test and Personal Interview, and present your commerce background you still stand a fair chance. But it would also be wise if you have some backups like MDI Gurugram, IMT Ghaziabad, IMI Delhi, where your marks and profile will fit well in their selection range.
HELLO,
I am providing you the link below through which you will be able to download the previous 10 years CAT question papers
Here is the link :- CAT Previous year Question papers
Hope this Helps!
The three key formulas that can solve almost all Profit & Loss problems are:
Profit/Loss % = (Profit or Loss / Cost Price) × 100%, where CP is the cost price.
Discount % = (Discount / Marked Price) × 100%, where MP is the marked price.
Mark up % = (Mark up Value / Cost Price) × 100%, where CP is the cost price.
These formulas can be adapted for problems involving discounts, marked price, or successive gains/losses.
For detailed examples and variations, you can from the article
Hello,
Yes, Pragati Engineering College offers seats in Category-B (Management quota) for B.Tech programmes. The selection criteria is mentioned as the per the guidelines issued by the AP State Council of Higher Education (APSCHE). The applications are available on the college's official website.
You can know more about the college and the courses from the link given below:
https://www.careers360.com/colleges/pragati-engineering-college-surampalem
Hope it helps!!!
Directions for question :
M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.
Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.
The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :
It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired.
Question :
In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?
September 2020
May 2021
January 2021
January 2022
Directions for question:
The bar-graph given below shows the foreign exchange reserves of Nepal (in million Rupees) from 2014 to 2021. Answer the following questions based on the graph :
Question:
What was the percentage increase (rounded to the nearest integer, if deemed necessary) in the foreign exchange reserves in 2020 over 2016 ?
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